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Finding the Third Proportional to 66,751.50 and 135,982

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Solution

The third proportional to 66,751.50 and 135,982 is: 277,014.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,751.50 : 135,982 = 135,982 : x
  2. Step 2: Convert to fraction form
    66,751.50/135,982 = 135,982/x
  3. Step 3: Cross multiply
    66,751.50x = 135,982 × 135,982
  4. Step 4: Simplify right side
    66,751.50x = 18,491,104,324
  5. Step 5: Solve for x
    x = 18,491,104,324/66,751.50
  6. Step 6: Final answer
    x = 277,014.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.